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umka21 [38]
3 years ago
13

What is a system of equations for the following situation? There is a total of 40 questions on a test. Some questions are multip

le-choice and some are short answers. The multiple-choice questions are worth 2 points and the short answer questions are worth 4 points. There is a total of 100 points on the test.
Mathematics
1 answer:
Elden [556K]3 years ago
8 0

First we define the variables:

m = multiple choice questions

s = short answer questions

Next we need to satisfy 2 conditions:

1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:

m+s=40

2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:

2m+4s=100

By satisfying the conditions provided we were able to create the 2 equations!

m+s=40

2m+4s=100

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1. Identify the DEPENDENT VARIABLE in the testable
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To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

In a research study, there are typically two main variables that direct the scientific enquiry. They are:

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The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.

It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.

For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>

Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.

The dependent variable here would be: <u><em>Germination Rate.</em></u>

Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.

Learn more here:

brainly.com/question/24657192

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